Find the remainder when we divide $a^{3} + a^{2} + 2 a + 8$ by $a + 2$

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Solution

We divide $a^{3} + a^{2} + 2 a + 8$ by $a + 2$ as shown in the above image:

From the above division, we get that the quotient is $a^{2} - a + 4$ and the remainder is $0$

Hence, the remainder is $0$ .

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